1 / 16

The Yijing as a Symbolic Language for Abstraction

The Yijing as a Symbolic Language for Abstraction. Image and Number meets Boolean Algebra. Dr Andreas Sch öter Edinburgh, UK http://www.yijing.co.uk. Overview. The role of structure Dimensional progression Lattice of energy Represents the structure of reality Unfolding the structure

manuelac
Download Presentation

The Yijing as a Symbolic Language for Abstraction

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. The Yijing as a Symbolic Language for Abstraction Image and NumbermeetsBoolean Algebra Dr Andreas SchöterEdinburgh, UK http://www.yijing.co.uk

  2. Overview • The role of structure • Dimensional progression • Lattice of energy • Represents the structure of reality • Unfolding the structure • Theory of individual perspectives http://www.yijing.co.uk

  3. Structure and Process • Gua are energetically related to each other through lattice structures. • The lattices relate gua along lines of energy difference. • The lattice structures have meaning. • The processes which generate the lattices have meaning. http://www.yijing.co.uk

  4. One Dimension • Yin and Yang polarized in the basic lattice. • Geometrically: a line, one dimensional. • Energy order: • Yang, with most energy at the top. • Yin, at the bottom. http://www.yijing.co.uk

  5. One Dimension • Link pairs of gua through a single changing line. • One-dimensional structures are edges in the complete lattice. http://www.yijing.co.uk

  6. Two Dimensions • Bigram Lattice. • Energy order: partial. • Empty, Full, Up and Down. • Geometrically: square, two-dimensional. http://www.yijing.co.uk

  7. Two Dimensions • Gua linked together through double line change. • These form facets in the complete lattice. http://www.yijing.co.uk

  8. Three Dimensions • Trigram Lattice. • Geometrically: a cube. • Energy order is partial. • Double the complexity of bigrams. http://www.yijing.co.uk

  9. Three Dimensions • Gua linked through triple line change. • Creates cubical sub-groups of hexagrams. • The bottom three lines are changing. • Changing different lines creates different substructures http://www.yijing.co.uk

  10. Cubic Substructures http://www.yijing.co.uk

  11. Hexagram Lattice http://www.yijing.co.uk

  12. Structure of Reality • Hexagrams: 6-D representation of reality. • Complex when taken as a whole. • We cannot see the whole all at once. • We each have a partial perspective. • How to represent different perspectives? • Using substructures… http://www.yijing.co.uk

  13. Subspace Analysis Local perspective realized as a subspace of the totality • One of 16 facets with the centre two lines changing. • These can be linked together into a chain… http://www.yijing.co.uk

  14. Unfolding Reality:Introvert Unfolding http://www.yijing.co.uk

  15. Planar Unfolding Extrovert Unfolding http://www.yijing.co.uk

  16. Summary • Each individual view of reality is partial. • Perspectives arise from focussing awareness onto particular domains. • Implemented in the Yijing: • Hexagram lattice as totality, • Unfoldings give partial perspectives. • Sound mathematical basis. http://www.yijing.co.uk

More Related